MathDB

Spring 2020 Team Round Problem 20

Source:

August 22, 2020

Problem Statement

Let

c_1<c_2<c_3

be the three smallest positive integer values of

c

such that the distance between the parabola

y=x^2+2020

and the line

y=cx

is a rational multiple of

\sqrt{2}

. Compute

c_1+c_2+c_3

.

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